Determine Whether the Set Is fiNite or Infinite $$\left\{ x \mid x \in Z \text { and } x ^ { 2 } = 2 \right\}$$

question 59

Short Answer

determine whether the set is finite or infinite. If the set is finite, find its size.
- $$\left\{ x \mid x \in Z \text { and } x ^ { 2 } = 2 \right\}$$

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Definitions:

Logos

An aspect of Aristotle's modes of persuasion, focusing on logic and reasoning to argue a point.

Quantitative Research

Research that collects and analyzes numerical data to identify patterns, correlations, or causations in a structured and statistically valid manner.

Qualitative Research

Research that involves collecting and analyzing non-numerical data (such as text, video, or audio) to understand concepts, opinions, or experiences.